Question

add the expressions -3k+4k^3-2. 9k^2-3k^3 + 4k-3

Answer 1

To add the expressions \(-3k + 4k^3 - 2\) and \(9k^2 - 3k^3 + 4k - 3\), we will first group the like terms:

1. **Identify the terms**:
- From the first expression: \(-3k + 4k^3 - 2\)
- From the second expression: \(9k^2 - 3k^3 + 4k - 3\)

2. **Combine the like terms**:
- **\(k^3\) terms**: \(4k^3 - 3k^3 = 1k^3\)
- **\(k^2\) terms**: \(9k^2\) (there's no \(k^2\) term in the first expression)
- **\(k\) terms**: \(-3k + 4k = 1k\)
- **Constant terms**: \(-2 - 3 = -5\)

3. **Write the combined expression**:
\[
1k^3 + 9k^2 + 1k - 5
\]

4. **Simplified form**:
\[
k^3 + 9k^2 + k - 5
\]

Thus, the result of adding the expressions \(-3k + 4k^3 - 2\) and \(9k^2 - 3k^3 + 4k - 3\) is:
\[
k^3 + 9k^2 + k - 5
\]

Answer 2

the 5 is wrong is there any answer that was needed to do this or not pls tell me

Answer 3

Let's go through the addition of the expressions again step by step to ensure accuracy:

**Expressions to add:**
1. \(-3k + 4k^3 - 2\)
2. \(9k^2 - 3k^3 + 4k - 3\)

**Step 1: Write the expressions clearly:**
- First expression: \(-3k + 4k^3 - 2\)
- Second expression: \(9k^2 - 3k^3 + 4k - 3\)

**Step 2: Align like terms:**
- \(k^3\) terms: \(4k^3\) from the first expression and \(-3k^3\) from the second expression.
- \(k^2\) term: \(9k^2\) (only in the second expression).
- \(k\) terms: \(-3k\) from the first expression and \(4k\) from the second expression.
- Constant terms: \(-2\) from the first expression and \(-3\) from the second expression.

**Step 3: Combine the like terms:**
- **\(k^3\) terms:**
\[
4k^3 + (-3k^3) = 4k^3 - 3k^3 = 1k^3
\]

- **\(k^2\) term:**
\[
9k^2
\]

- **\(k\) terms:**
\[
-3k + 4k = 1k = k
\]

- **Constant terms:**
\[
-2 + (-3) = -2 - 3 = -5
\]

**Step 4: Combine everything:**
Putting it all together, we get:
\[
k^3 + 9k^2 + k - 5
\]

### Final Answer:
So, the result of adding the two expressions is:
\[
k^3 + 9k^2 + k - 5
\]

If you think there’s an error or calculation that should be highlighted, please let me know!